Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998 Association of Mizar Users

Some Properties of Special Polygonal Curves


Andrzej Trybulec
University of Bialystok
Yatsuka Nakamura
Shinshu University, Nagano

Summary.

In the paper some auxiliary theorems are proved, needed in the proof of the second part of the Jordan curve theorem for special polygons. They deal mostly with characteristic points of plane non empty compacts introduced in [9], operation {\em mid} introduced in [22] and the predicate ``$f$ is in the area of $g$'' ($f$ and $g$ : finite sequences of points of the plane) introduced in [30].

MML Identifier: SPRECT_3

The terminology and notation used in this paper have been introduced in the following articles [28] [27] [7] [33] [3] [14] [2] [24] [1] [6] [4] [32] [8] [15] [16] [17] [26] [34] [10] [25] [5] [11] [12] [9] [18] [19] [20] [23] [29] [22] [13] [21] [31] [30]

Contents (PDF format)

  1. Preliminaries
  2. Euclidean Space
  3. Euclidean Plane
  4. Miscellaneous
  5. Special Circular Sequences
  6. Rectangular Sequences
  7. In the Area

Bibliography

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Received October 22, 1998


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